Maths

This web page is intended purely as a repository for the electronic versions of lecture notes,
revision notes and essays that I produced while studying Maths at Cambridge University. If you
have any comments or corrections to these notes, however small, please
email me.

Lecture notes

These lecture notes are intended to provide a fairly complete representation of the courses from
which they are derived. If you are a student at Cambridge University, please note, hovever, that
the content of courses changes from year to year — the notes are not intended to
be a substitute for attending lectures. In addition, there will undoubtedly be errors and
omissions — I would very much appreciate being told of any that you may find.

Revision notes

These revision notes were produced for my own personal use and in no sense do they attempt to
cover the entirety of their related courses. I have usually omitted proofs, examples and detailed
explanations. In some cases, whole topics or sections of the course are not represented here,
because I felt that they were not essential, because I already understood them very well or
didn't understand them at all, or simply because I ran out of time. Finally, the presentation of
the material is very much in my own style and often completely different to that of the lecturers.

Having said this, I hope that they may prove useful at the start of term as an outline of the
material likely to be covered in the courses, or when revising as a summary of some of the
material that was covered.

Essays

This is the essay that I wrote for Part III, under the supervision of Dr Jan Saxl. I hope that
it would be fairly comprehensible to anyone with a graduate-level knowledge of Group Theory, or,
by skipping over a few of the more technical sections, to an undergraduate having studied some
Group Theory.